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Archiv der Mathematik

, Volume 98, Issue 3, pp 213–217 | Cite as

On the stable set of associated prime ideals of a monomial ideal

  • Shamila Bayati
  • Jürgen Herzog
  • Giancarlo Rinaldo
Article

Abstract

It is shown that any set of nonzero monomial prime ideals can be realized as the stable set of associated prime ideals of a monomial ideal. Moreover, an algorithm is given to compute the stable set of associated prime ideals of a monomial ideal.

Mathematics Subject Classification (2010)

13C13 13P99 

Keywords

Monomial ideals Associated prime ideals Powers of ideals 

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Copyright information

© Springer Basel AG 2012

Authors and Affiliations

  • Shamila Bayati
    • 1
  • Jürgen Herzog
    • 2
  • Giancarlo Rinaldo
    • 3
  1. 1.Faculty of Mathematics and Computer ScienceAmirkabir University of Technology (Tehran Polytechnic)TehranIran
  2. 2.Fachbereich MathematikUniversität Duisburg-EssenEssenGermany
  3. 3.Dipartimento di MatematicaUniversità di MessinaMessinaItaly

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